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use codec::MaxEncodedLen;
use primitives::{Rate, Ratio};
use scale_info::TypeInfo;
use sp_runtime::traits::{CheckedAdd, CheckedDiv, CheckedSub, Saturating};
use crate::*;
#[derive(
serde::Deserialize,
serde::Serialize,
Encode,
Decode,
Eq,
PartialEq,
Copy,
Clone,
RuntimeDebug,
TypeInfo,
MaxEncodedLen,
)]
pub enum InterestRateModel {
Jump(JumpModel),
Curve(CurveModel),
}
impl Default for InterestRateModel {
fn default() -> Self {
Self::new_jump_model(
Rate::saturating_from_rational(2, 100),
Rate::saturating_from_rational(10, 100),
Rate::saturating_from_rational(32, 100),
Ratio::from_percent(80),
)
}
}
impl InterestRateModel {
pub fn new_jump_model(base_rate: Rate, jump_rate: Rate, full_rate: Rate, jump_utilization: Ratio) -> Self {
Self::Jump(JumpModel::new_model(base_rate, jump_rate, full_rate, jump_utilization))
}
pub fn new_curve_model(base_rate: Rate) -> Self {
Self::Curve(CurveModel::new_model(base_rate))
}
pub fn check_model(&self) -> bool {
match self {
Self::Jump(jump) => jump.check_model(),
Self::Curve(curve) => curve.check_model(),
}
}
pub fn get_borrow_rate(&self, utilization: Ratio) -> Option<Rate> {
match self {
Self::Jump(jump) => jump.get_borrow_rate(utilization),
Self::Curve(curve) => curve.get_borrow_rate(utilization),
}
}
pub fn get_supply_rate(borrow_rate: Rate, util: Ratio, reserve_factor: Ratio) -> Rate {
let one_minus_reserve_factor = Ratio::one().saturating_sub(reserve_factor);
let rate_to_pool = borrow_rate.saturating_mul(one_minus_reserve_factor.into());
rate_to_pool.saturating_mul(util.into())
}
}
#[derive(
serde::Deserialize,
serde::Serialize,
Encode,
Decode,
Eq,
PartialEq,
Copy,
Clone,
RuntimeDebug,
TypeInfo,
MaxEncodedLen,
)]
pub struct JumpModel {
pub base_rate: Rate,
pub jump_rate: Rate,
pub full_rate: Rate,
pub jump_utilization: Ratio,
}
impl JumpModel {
pub const MAX_BASE_RATE: Rate = Rate::from_inner(100_000_000_000_000_000); pub const MAX_JUMP_RATE: Rate = Rate::from_inner(1_000_000_000_000_000_000); pub const MAX_FULL_RATE: Rate = Rate::from_inner(5_000_000_000_000_000_000); pub fn new_model(base_rate: Rate, jump_rate: Rate, full_rate: Rate, jump_utilization: Ratio) -> JumpModel {
Self {
base_rate,
jump_rate,
full_rate,
jump_utilization,
}
}
pub fn check_model(&self) -> bool {
if self.base_rate > Self::MAX_BASE_RATE
|| self.jump_rate > Self::MAX_JUMP_RATE
|| self.full_rate > Self::MAX_FULL_RATE
{
return false;
}
if self.base_rate > self.jump_rate || self.jump_rate > self.full_rate {
return false;
}
true
}
pub fn get_borrow_rate(&self, utilization: Ratio) -> Option<Rate> {
if utilization <= self.jump_utilization {
let result = self
.jump_rate
.checked_sub(&self.base_rate)?
.saturating_mul(utilization.into())
.checked_div(&self.jump_utilization.into())?
.checked_add(&self.base_rate)?;
Some(result)
} else {
let excess_util = utilization.saturating_sub(self.jump_utilization);
let result = self
.full_rate
.checked_sub(&self.jump_rate)?
.saturating_mul(excess_util.into())
.checked_div(&(Ratio::one().saturating_sub(self.jump_utilization).into()))?
.checked_add(&self.jump_rate)?;
Some(result)
}
}
}
#[derive(
serde::Deserialize,
serde::Serialize,
Encode,
Decode,
Eq,
PartialEq,
Copy,
Clone,
RuntimeDebug,
TypeInfo,
MaxEncodedLen,
)]
pub struct CurveModel {
pub base_rate: Rate,
}
impl CurveModel {
pub const MAX_BASE_RATE: Rate = Rate::from_inner(100_000_000_000_000_000); pub fn new_model(base_rate: Rate) -> CurveModel {
Self { base_rate }
}
pub fn check_model(&self) -> bool {
self.base_rate <= Self::MAX_BASE_RATE
}
pub fn get_borrow_rate(&self, utilization: Ratio) -> Option<Rate> {
const NINE: usize = 9;
let utilization_rate: Rate = utilization.into();
utilization_rate.saturating_pow(NINE).checked_add(&self.base_rate)
}
}
#[cfg(test)]
mod tests {
use super::*;
use sp_runtime::FixedU128;
#[test]
fn init_jump_model_works() {
let base_rate = Rate::saturating_from_rational(2, 100);
let jump_rate = Rate::saturating_from_rational(10, 100);
let full_rate = Rate::saturating_from_rational(32, 100);
let jump_utilization = Ratio::from_percent(80);
assert_eq!(
JumpModel::new_model(base_rate, jump_rate, full_rate, jump_utilization),
JumpModel {
base_rate: Rate::from_inner(20_000_000_000_000_000).into(),
jump_rate: Rate::from_inner(100_000_000_000_000_000).into(),
full_rate: Rate::from_inner(320_000_000_000_000_000).into(),
jump_utilization: Ratio::from_percent(80),
}
);
}
#[test]
fn get_borrow_rate_works() {
let base_rate = Rate::saturating_from_rational(2, 100);
let jump_rate = Rate::saturating_from_rational(10, 100);
let full_rate = Rate::saturating_from_rational(32, 100);
let jump_utilization = Ratio::from_percent(80);
let jump_model = JumpModel::new_model(base_rate, jump_rate, full_rate, jump_utilization);
assert!(jump_model.check_model());
let mut cash: u128 = 500;
let borrows: u128 = 1000;
let util = Ratio::from_rational(borrows, cash + borrows);
let borrow_rate = jump_model.get_borrow_rate(util).unwrap();
assert_eq!(
borrow_rate,
jump_model.jump_rate.saturating_mul(util.into()) + jump_model.base_rate,
);
cash = 100;
let util = Ratio::from_rational(borrows, cash + borrows);
let borrow_rate = jump_model.get_borrow_rate(util).unwrap();
let normal_rate = jump_model.jump_rate.saturating_mul(jump_utilization.into()) + jump_model.base_rate;
let excess_util = util.saturating_sub(jump_utilization);
assert_eq!(
borrow_rate,
(jump_model.full_rate - jump_model.jump_rate).saturating_mul(excess_util.into())
/ FixedU128::saturating_from_rational(20, 100)
+ normal_rate,
);
}
#[test]
fn get_supply_rate_works() {
let borrow_rate = Rate::saturating_from_rational(2, 100);
let util = Ratio::from_percent(50);
let reserve_factor = Ratio::zero();
let supply_rate = InterestRateModel::get_supply_rate(borrow_rate, util, reserve_factor);
assert_eq!(
supply_rate,
borrow_rate.saturating_mul(((Ratio::one().saturating_sub(reserve_factor)) * util).into()),
);
}
#[test]
fn curve_model_correctly_calculates_borrow_rate() {
let model = CurveModel::new_model(Rate::saturating_from_rational(2, 100));
assert_eq!(
model.get_borrow_rate(Ratio::from_percent(80)).unwrap(),
Rate::from_inner(154217728000000000)
);
}
}